Responder:
1,625; 0.8569
Explicación paso a paso:
y ___0 ____ 1 ____ 2 ____3
P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8
Valor esperado (E (x)): Σx * p (x)
= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625
La desviación estándar = sqrt (Var (x))
Var (X) = Σx²p (x) * E (x) ²
Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²
Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2
= 3.375 - 2.640625
= 0,734375
Desviación estándar = Sqrt (0,734375) = 0,8569
9514 1404 393
Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
Answer:
<h2>m∠2 = m∠1</h2><h2>m∠1 = 75°</h2>
Step-by-step explanation:
Look at the picture.
Vertical angles, corresponding angles, alternate exterior angles are congruent.
Supplementary angles add up to 180°.
Answer:
Neither
Step-by-step explanation:
Can be determined because there is enough information (Length, width, and height).
Not congruent because from the picture itself, the figures are in different sizes.
Not similar because:
The height ratio is not the same as the ratios of other dimensions.
1 : 4 is not similar to 6 : 12 and 4 : 8